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Quillen model categories

Published online by Cambridge University Press:  04 March 2013

Mark Hovey
Mark Hovey*
Affiliation:
Department of Mathematics, Wesleyan University, Middletown, CT [email protected]
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Abstract

We provide a brief description of the mathematics that led to Daniel Quillen's introduction of model categories, a summary of his seminal work “Homotopical algebra”, and a brief description of some of the developments in the field since.

Keywords

cofibrationderived functorfibrationhomotopical algebrahomotopy limitmodel categoryQuillensimplicial setweak equivalencePrimary 18G55Secondary 13D0316E3555U35
Type
Research Article
Information
Journal of K-Theory , Volume 11 , Issue 3: The Legacy of Daniel Quillen , June 2013 , pp. 469 - 478
Copyright
Copyright © ISOPP 2013 

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